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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2013, Issue 4(33), Pages 184–191
DOI: https://doi.org/10.14498/vsgtu1288 (Mi vsgtu1288) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Discrete Mathematics

Combinatorial representation of the sum of the weighted equal powers of members of an arithmetical progression

A. I. Nikonov

Samara State Technical University, Samara, Russia
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DOI: https://doi.org/10.14498/vsgtu1288
Abstract: The correctness of equality which gives the combinatorial expression for the sum of the weighted equal powers of members of an arithmetical progression is found out. Such aspect provides usage of double summation of certain algebraic combinations with free and weight components of the given sum. Thus specified algebraic combinations also include binomial coefficients. Determination of required equality was made with use of comparison of real and hypothetical values.
Keywords: sum of the weighted equal powers, real representation, hypothetical representation, binomial coefficients.
Original article submitted 10/X/2013
revision submitted – 12/XI/2013
Bibliographic databases:
Document Type: Article
UDC: 512.14
MSC: 05A10
Language: Russian
Citation: A. I. Nikonov, “Combinatorial representation of the sum of the weighted equal powers of members of an arithmetical progression”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4(33) (2013), 184–191
Citation in format AMSBIB
\Bibitem{Nik13}
\by A.~I.~Nikonov
\paper Combinatorial representation of the sum of the weighted equal powers of members of an arithmetical progression
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 4(33)
\pages 184--191
\mathnet{http://mi.mathnet.ru/vsgtu1288}
\crossref{https://doi.org/10.14498/vsgtu1288}
\zmath{https://zbmath.org/?q=an:06968815}
\elib{https://elibrary.ru/item.asp?id=21159196}
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  • https://www.mathnet.ru/eng/vsgtu/v133/p184
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :190
    References:58
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